Continuity mistake: When Axel and Jenny go to Victor's warehouse you see Axel walk up to a crate and put both of his hands on it. The camera angle changes and his hands are no longer on the crate and he's pointing to a label on the crate telling Jenny that this is what they are looking for.
Continuity mistake: When Inspector Todd is yelling at Foley you see Jeffrey standing right behind Axel looking at the lockers, and when the camera angle changes he's now looking right at Axel.
Continuity mistake: When Axel and Mikey are at the bar Mikey puts his hand on Axel's neck. The shot changes and the hand is now on Axel's shoulder. The shot changes again and the hand is missing.
Continuity mistake: After Victor leaves the warehouse, Axel fights off the remaining thugs. He throws a guy into some boxes, and 5 seconds later, the exact same shot is repeated.
Continuity mistake: When the movie starts and the police car shows up, Axel raises his hand holding dollar bills. From the opposite angle his hand is lowered.
Continuity mistake: When Jenny and Axel first get in her Mercedes, you see the rear view mirror. But in the shots of her driving, it's gone.
Continuity mistake: When Axel is at Victor's gate, looking at his house, the two other cops show up and Axel turns to face them. When you see the shot from in front of them, they're standing shoulder to shoulder. But the shots from behind show them standing a few feet apart.
Continuity mistake: When Axel is at the restaurant asking for Victor, he is scratching his neck from the shot over his shoulder. However, in the very next shot, both his hand are by his aside.
Continuity mistake: When Serge asks Axel for his name, his has his hand on his neck. In the next shot from over his shoulder, his hand is not there. In the next shot, his hand is under his chin, and then in the next shot from over his shoulder his hand is not there.
Continuity mistake: When Axel is shot in the arm at Maitland's house, he falls into a white tiled room. His gun is already lying on the floor well in front of him as he is falling.
Continuity mistake: During the shoot out at Maitland's mansion, when Zak is shot, you see the actor who plays him lying on the floor, in the next shot, his stunt double is lying on the floor.
Continuity mistake: When Axel Foley hits Victor's hitman in the restaurant and the hitman lands on the buffet table, he has lots of stuff on his face and something green is stuck on his forehead. In the next shot, the hitman's face has been cleaned up a little and the green thing stuck on his forehead disappears.
Continuity mistake: When Axel elbows the guy in the face at the strip club you can see his elbow not even hitting the guy's face.
Continuity mistake: When the semi crashes into the fruit truck you see the impact, but the camera angle changes and you see the semi hitting the truck again.
Chosen answer: Much of Axel Foley's lines were improvised, including this scene, according to the commentary. But many other actors improvised their lines too, most notably Bronson Pinchot. The script was originally written with the intent of Sylvester Stallone playing Axel and as such, the issue of his race wasn't scripted and the director tried to avoid mentioning race in the film. It was Eddie Murphy that would bring it up in improvised lines.
Bishop73